Two plastic spheres, each carrying charge uniformly distributed throughout its i

Question

Two plastic spheres, each carrying charge uniformly distributed throughout its interior, are initially placed in contact and then released. One sphere has a diameter of 65.0cm , a mass of m1= 55.0g , and contains -12.0?C of charge. The other sphere has a diameter of 40.0cm , a mass ofm2 = 160.0g and contains -26.0MicroC of charge. Assume that no other forces are acting on them.

HERE IS A link ON HOW TO DO THIS PROBLEM.

Please provide a solution based off of the material on the webpage:

http://www.solvephysics.com/electricity_problem22.shtml

I can not get my answers to match up. Remember conversions to C, m, and kg. Please provide an answer for the following (no work needed):

a.Find the maximum speed achieved by the sphere of mass 55.0 g

b.Find the maximum speed achieved by sphere of mass 160.0 g

Explanation / Answer

a)

conservation of momentum:

m1 v1 = m2 v2

==> v2 = m1/m2 v1 = 55/160 v1 = 0.34375 v1

conservation of energy:

0.5 m1 v1^2 + 0.5 m2 v2^2 = k q1 q2/((D1+D2)/2)

0.5*0.055*v1^2 + 0.5*0.160*(0.34375 v1)^2 = 9e9*12e-6*26e-6/((0.65+0.40)/2)

0.036953125 v1^2= 5.34857

==> v1 = 12.0 m/s

b)

v2 = 0.34375 v1 = 4.14 m/s

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